How to make a light emitting material sensitive to external light
Using the light falling on the material is not something that is possible in cycles. It is, however, possible in blender internal.

The reason this is happening though is because normally in the real world when you turn the lights on, you are also reducing the exposure of the image, which causes the light emitted from the glowing material to be much dimmer. To replicate this effect in cycles you can increase the brightness of light significantly and then reduce the exposure from the colour management section of the scene tab.